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Finding the Third Proportional to 142,618 and 221,727

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Solution

The third proportional to 142,618 and 221,727 is: 344,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,618 : 221,727 = 221,727 : x
  2. Step 2: Convert to fraction form
    142,618/221,727 = 221,727/x
  3. Step 3: Cross multiply
    142,618x = 221,727 × 221,727
  4. Step 4: Simplify right side
    142,618x = 49,162,862,529
  5. Step 5: Solve for x
    x = 49,162,862,529/142,618
  6. Step 6: Final answer
    x = 344,717.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.